Martingales and Brownian Motion Construction

In course

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Description

This lecture covers the extension of the previous result on the Hausdorff dimension of the set of zero points of Brownian motion, showing that it is less than 1/2 with probability 1. The construction of a Brownian motion with continuous trajectories using Paul Lévy's method is also discussed.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_rcqoa5dp

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Ontological neighbourhood

Mathematics

Analysis: Differential anaysis, Numerical analysis

Probability theory: Topics in probability theory, Stochastic processses

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